Casyopee - Ajustement moindres carrés
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What they say:   I used Casyopée to help students solve optimisation problems. It allowed me to present students very open tasks. Students explored and found results that they had to prove afterward. Casyopée also helped students reuse basic strategies for solving.   A teacher
What they say:   Casyopée is faster and more convenient than a calculator.... We have the geometric and algebraic side of the problem at the same time. It is easier to see how a function "reacts." It's useful and interesting.   A student
What they say:   Casyopée makes it easy to calculate a derivative, to factor, to calculate zeros... and have a graph of the function next to it in the same window. It allows on a geometric problem to be able to establish variables that can then be used to study the problem by way of functions...   A student
What they say:   Casyopee is a powerful application that can prove useful to both students and teachers It allows you to use various exploration and modeling tools, with the purpose of studying or teaching mathematical functions.   Softpedia
What they say:   Casyopee comes with lots of features. One of these features is the help provided for proving a function. There is also a feature for writing HTML reports that include the mathematical functions. Casyopee is guaranteed to improve the mathematical knowledge of its users.
What they say:   Besides the concept of number, the concept of function is the most important one in mathematics      David Hilbert
What they say:   The notion of function is present in all scientific disciplines, and also in everyday life. Our experience as a teacher shows every day that it is a problem for many students. Situations with Casyopée can also be used outside of a technological environment and everyone will be able to reflect on her professional practice.   A university teacher

Regression line

After clicking , draw a rectangle with the mouse enclosing the points to which a line has to be adjusted.

The line is created.

If a point is free, the line follows when the point is dragged.

The menu Equation-Export as function allows obtaining the regression function.

Note that if some points are free points, or depend from free points, the actual position of these points are taken into account.

The menu option allows formal parameters defining the free points to appear in formulas.

In this case, the parameters can be explicitly instantiated:


Deviation from a curve

For a regression other than linear, a curve being drawn, Casyopée offers the possibility to create a geometric calculation "Sum of squares of deviations", of a series of points from this curve (the differences being calculated "vertically).

The calculation is created by the Geometric Calculations-adjustment menu. Successively click the points then click the curve to complete.

The calculation and its current value are displayed.

In case of the curve of a parametric function, it is possible to drag the sliders in order to get a better adjustement.


Creation date : 06/10/2014 - 18h08
Category : - help
Page read 2748 times